A circular loop of diameter 0.4m resistance 2 omega lies so that an external mag

Question

A circular loop of diameter 0.4m resistance 2 omega lies so that an external magnetic field of magnitude 0.3T is perpendicular to the loop. The loop then rotates to a direction 30 degree the magnetic field in 1.5s. Find the current induce in the resistor. A large jetliner with a wingspan of 40m flies horizontally and due north at a speed 300m/s in a region where the magnetic field of the earth is 60 uT directed 15 degree below the horizontal. What is the direction and magnitude of the induced emf between the ends of the wing?

Explanation / Answer

induced current

i = (A/R)*dB/dt*sin30

A=pi*r^2=pi*0.2*0.2=0.1256 m2

i = (0.1256*0.3*sin30 ) / 1.5 = 12.56mA

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